14 Advanced Topics

On this page you can find resources related to advanced topics in the secondary curriculum.

Exponential and Logarithmic Functions

Example of how to introduce Exponential functions through realistic mathematics education:
DOWNLOAD (PDF)

An Instructional Trajectory for teaching Square Roots.
DOWNLOAD (PDF)

Rational Exponents: A deeper understanding through Geometric Mean.
DOWNLOAD (PDF)

Constructible Numbers
DOWNLOAD (PDF)

Rational Functions

Rational Functions in the Real World DOWNLOAD (PDF)

Fractal Geometry

Fractal Geometry Curriculum. DOWNLOAD (PDF)

Conic Sections

Lines, parabolas, hyperbolas, circles, ellipses

Lines as Locus: Line and Point
Locus for 2 points: DOWNLOAD
Locus for 3 points: DOWNLOAD
Locus for 5 points: DOWNLOAD
Parabola as a locus between focal point and directrix DOWNLOAD

Transforming Circles Ellipses Hyperbolas Hyperbolas&Ellipses